Menerapkan tampilan kamera dan proyeksi
Tetap teratur dengan koleksi
Simpan dan kategorikan konten berdasarkan preferensi Anda.
Di lingkungan OpenGL ES, proyeksi dan tampilan kamera memungkinkan Anda menampilkan objek yang digambar di
yang lebih menyerupai bagaimana Anda melihat
objek fisik dengan mata Anda. Simulasi dari
tampilan fisik dilakukan dengan transformasi matematis dari koordinat objek yang digambar:
- Proyeksi - Transformasi ini menyesuaikan koordinat objek yang digambar berdasarkan
lebar dan tinggi
GLSurfaceView
tempat keduanya ditampilkan. Tanpa
dalam penghitungan ini, objek yang digambar oleh OpenGL ES condong oleh proporsi tampilan yang tidak sama
jendela. Transformasi proyeksi biasanya hanya
harus dihitung ketika proporsi
Tampilan OpenGL dibuat atau diubah dalam metode onSurfaceChanged()
perender Anda. Untuk informasi selengkapnya tentang proyeksi OpenGL ES dan
pemetaan koordinat, lihat
Memetakan koordinat untuk yang digambar
objek.
- Tampilan Kamera - Transformasi ini menyesuaikan koordinat objek yang digambar berdasarkan
posisi kamera virtual Anda. Penting untuk diperhatikan bahwa OpenGL ES tidak menentukan kamera yang sebenarnya
, namun sebagai gantinya menyediakan metode utilitas yang menyimulasikan kamera dengan mengubah tampilan
objek yang digambar. Transformasi tampilan kamera mungkin hanya dihitung sekali saat Anda menetapkan
GLSurfaceView
, atau mungkin berubah secara dinamis berdasarkan tindakan pengguna atau
aplikasi.
Tutorial ini menjelaskan cara membuat proyeksi dan tampilan kamera serta menerapkannya ke bentuk yang digambar
GLSurfaceView
Anda.
Menentukan proyeksi
Data untuk transformasi proyeksi dihitung di onSurfaceChanged()
dari class GLSurfaceView.Renderer
Anda. Kode contoh berikut
menggunakan tinggi dan lebar GLSurfaceView
serta menggunakannya untuk mengisi
transformasi proyeksi Matrix
menggunakan metode Matrix.frustumM()
:
Kotlin
// vPMatrix is an abbreviation for "Model View Projection Matrix"
private val vPMatrix = FloatArray(16)
private val projectionMatrix = FloatArray(16)
private val viewMatrix = FloatArray(16)
override fun onSurfaceChanged(unused: GL10, width: Int, height: Int) {
GLES20.glViewport(0, 0, width, height)
val ratio: Float = width.toFloat() / height.toFloat()
// this projection matrix is applied to object coordinates
// in the onDrawFrame() method
Matrix.frustumM(projectionMatrix, 0, -ratio, ratio, -1f, 1f, 3f, 7f)
}
Java
// vPMatrix is an abbreviation for "Model View Projection Matrix"
private final float[] vPMatrix = new float[16];
private final float[] projectionMatrix = new float[16];
private final float[] viewMatrix = new float[16];
@Override
public void onSurfaceChanged(GL10 unused, int width, int height) {
GLES20.glViewport(0, 0, width, height);
float ratio = (float) width / height;
// this projection matrix is applied to object coordinates
// in the onDrawFrame() method
Matrix.frustumM(projectionMatrix, 0, -ratio, ratio, -1, 1, 3, 7);
}
Kode ini mengisi matriks proyeksi, mProjectionMatrix
yang kemudian dapat Anda gabungkan
dengan transformasi tampilan kamera di metode onDrawFrame()
, yang akan ditampilkan di bagian berikutnya.
Catatan: Hanya menerapkan transformasi proyeksi ke
menggambar objek biasanya menghasilkan tampilan yang sangat kosong. Secara umum, Anda juga harus menerapkan
transformasi tampilan agar apa pun
muncul di layar.
Menentukan tampilan kamera
Selesaikan proses transformasi objek yang digambar dengan menambahkan transformasi tampilan kamera sebagai
dari proses menggambar di perender Anda. Pada kode contoh berikut, tampilan kamera
transformasi dihitung menggunakan Matrix.setLookAtM()
kemudian digabungkan dengan matriks proyeksi yang telah dihitung sebelumnya. Kombinasi
matriks transformasi kemudian diteruskan ke bentuk yang digambar.
Kotlin
override fun onDrawFrame(unused: GL10) {
...
// Set the camera position (View matrix)
Matrix.setLookAtM(viewMatrix, 0, 0f, 0f, 3f, 0f, 0f, 0f, 0f, 1.0f, 0.0f)
// Calculate the projection and view transformation
Matrix.multiplyMM(vPMatrix, 0, projectionMatrix, 0, viewMatrix, 0)
// Draw shape
triangle.draw(vPMatrix)
Java
@Override
public void onDrawFrame(GL10 unused) {
...
// Set the camera position (View matrix)
Matrix.setLookAtM(viewMatrix, 0, 0, 0, 3, 0f, 0f, 0f, 0f, 1.0f, 0.0f);
// Calculate the projection and view transformation
Matrix.multiplyMM(vPMatrix, 0, projectionMatrix, 0, viewMatrix, 0);
// Draw shape
triangle.draw(vPMatrix);
}
Untuk menggunakan proyeksi gabungan dan matriks transformasi tampilan kamera yang ditunjukkan dalam
melihat pratinjau bagian, pertama-tama tambahkan variabel matriks ke shader verteks yang ditentukan sebelumnya
di class Triangle
:
Kotlin
class Triangle {
private val vertexShaderCode =
// This matrix member variable provides a hook to manipulate
// the coordinates of the objects that use this vertex shader
"uniform mat4 uMVPMatrix;" +
"attribute vec4 vPosition;" +
"void main() {" +
// the matrix must be included as a modifier of gl_Position
// Note that the uMVPMatrix factor *must be first* in order
// for the matrix multiplication product to be correct.
" gl_Position = uMVPMatrix * vPosition;" +
"}"
// Use to access and set the view transformation
private var vPMatrixHandle: Int = 0
...
}
Java
public class Triangle {
private final String vertexShaderCode =
// This matrix member variable provides a hook to manipulate
// the coordinates of the objects that use this vertex shader
"uniform mat4 uMVPMatrix;" +
"attribute vec4 vPosition;" +
"void main() {" +
// the matrix must be included as a modifier of gl_Position
// Note that the uMVPMatrix factor *must be first* in order
// for the matrix multiplication product to be correct.
" gl_Position = uMVPMatrix * vPosition;" +
"}";
// Use to access and set the view transformation
private int vPMatrixHandle;
...
}
Selanjutnya, ubah metode draw()
objek grafis Anda untuk menerima kombinasi
matriks transformasi dan menerapkannya ke bentuk:
Kotlin
fun draw(mvpMatrix: FloatArray) { // pass in the calculated transformation matrix
...
// get handle to shape's transformation matrix
vPMatrixHandle = GLES20.glGetUniformLocation(mProgram, "uMVPMatrix")
// Pass the projection and view transformation to the shader
GLES20.glUniformMatrix4fv(vPMatrixHandle, 1, false, mvpMatrix, 0)
// Draw the triangle
GLES20.glDrawArrays(GLES20.GL_TRIANGLES, 0, vertexCount)
// Disable vertex array
GLES20.glDisableVertexAttribArray(positionHandle)
}
Java
public void draw(float[] mvpMatrix) { // pass in the calculated transformation matrix
...
// get handle to shape's transformation matrix
vPMatrixHandle = GLES20.glGetUniformLocation(mProgram, "uMVPMatrix");
// Pass the projection and view transformation to the shader
GLES20.glUniformMatrix4fv(vPMatrixHandle, 1, false, mvpMatrix, 0);
// Draw the triangle
GLES20.glDrawArrays(GLES20.GL_TRIANGLES, 0, vertexCount);
// Disable vertex array
GLES20.glDisableVertexAttribArray(positionHandle);
}
Setelah Anda menghitung dan menerapkan
transformasi proyeksi dan tampilan kamera dengan benar,
objek grafis Anda digambar dalam proporsi yang benar dan akan terlihat seperti ini:
Gambar 1. Segitiga digambar dengan tampilan kamera dan proyeksi yang diterapkan.
Sekarang, setelah Anda memiliki aplikasi yang menampilkan bentuk Anda dalam proporsi yang benar, saatnya untuk
menambahkan {i>motion <i}
pada bentuk-bentuk Anda.
Konten dan contoh kode di halaman ini tunduk kepada lisensi yang dijelaskan dalam Lisensi Konten. Java dan OpenJDK adalah merek dagang atau merek dagang terdaftar dari Oracle dan/atau afiliasinya.
Terakhir diperbarui pada 2025-07-27 UTC.
[[["Mudah dipahami","easyToUnderstand","thumb-up"],["Memecahkan masalah saya","solvedMyProblem","thumb-up"],["Lainnya","otherUp","thumb-up"]],[["Informasi yang saya butuhkan tidak ada","missingTheInformationINeed","thumb-down"],["Terlalu rumit/langkahnya terlalu banyak","tooComplicatedTooManySteps","thumb-down"],["Sudah usang","outOfDate","thumb-down"],["Masalah terjemahan","translationIssue","thumb-down"],["Masalah kode / contoh","samplesCodeIssue","thumb-down"],["Lainnya","otherDown","thumb-down"]],["Terakhir diperbarui pada 2025-07-27 UTC."],[],[],null,["# Apply projection and camera views\n\nIn the OpenGL ES environment, projection and camera views allow you to display drawn objects in a\nway that more closely resembles how you see physical objects with your eyes. This simulation of\nphysical viewing is done with mathematical transformations of drawn object coordinates:\n\n- *Projection* - This transformation adjusts the coordinates of drawn objects based on the width and height of the [GLSurfaceView](/reference/android/opengl/GLSurfaceView) where they are displayed. Without this calculation, objects drawn by OpenGL ES are skewed by the unequal proportions of the view window. A projection transformation typically only has to be calculated when the proportions of the OpenGL view are established or changed in the [onSurfaceChanged()](/reference/android/opengl/GLSurfaceView.Renderer#onSurfaceChanged(javax.microedition.khronos.opengles.GL10, int, int)) method of your renderer. For more information about OpenGL ES projections and coordinate mapping, see [Mapping coordinates for drawn\n objects](/develop/ui/views/graphics/opengl/about-opengl#coordinate-mapping).\n- *Camera View* - This transformation adjusts the coordinates of drawn objects based on a virtual camera position. It's important to note that OpenGL ES does not define an actual camera object, but instead provides utility methods that simulate a camera by transforming the display of drawn objects. A camera view transformation might be calculated only once when you establish your [GLSurfaceView](/reference/android/opengl/GLSurfaceView), or might change dynamically based on user actions or your application's function.\n\nThis lesson describes how to create a projection and camera view and apply it to shapes drawn in\nyour [GLSurfaceView](/reference/android/opengl/GLSurfaceView).\n\nDefine a projection\n-------------------\n\nThe data for a projection transformation is calculated in the [onSurfaceChanged()](/reference/android/opengl/GLSurfaceView.Renderer#onSurfaceChanged(javax.microedition.khronos.opengles.GL10, int, int))\nmethod of your [GLSurfaceView.Renderer](/reference/android/opengl/GLSurfaceView.Renderer) class. The following example code\ntakes the height and width of the [GLSurfaceView](/reference/android/opengl/GLSurfaceView) and uses it to populate a\nprojection transformation [Matrix](/reference/android/opengl/Matrix) using the [Matrix.frustumM()](/reference/android/opengl/Matrix#frustumM(float[], int, float, float, float, float, float, float)) method: \n\n### Kotlin\n\n```kotlin\n// vPMatrix is an abbreviation for \"Model View Projection Matrix\"\nprivate val vPMatrix = FloatArray(16)\nprivate val projectionMatrix = FloatArray(16)\nprivate val viewMatrix = FloatArray(16)\n\noverride fun onSurfaceChanged(unused: GL10, width: Int, height: Int) {\n GLES20.glViewport(0, 0, width, height)\n\n val ratio: Float = width.toFloat() / height.toFloat()\n\n // this projection matrix is applied to object coordinates\n // in the onDrawFrame() method\n Matrix.frustumM(projectionMatrix, 0, -ratio, ratio, -1f, 1f, 3f, 7f)\n}\n```\n\n### Java\n\n```java\n// vPMatrix is an abbreviation for \"Model View Projection Matrix\"\nprivate final float[] vPMatrix = new float[16];\nprivate final float[] projectionMatrix = new float[16];\nprivate final float[] viewMatrix = new float[16];\n\n@Override\npublic void onSurfaceChanged(GL10 unused, int width, int height) {\n GLES20.glViewport(0, 0, width, height);\n\n float ratio = (float) width / height;\n\n // this projection matrix is applied to object coordinates\n // in the onDrawFrame() method\n Matrix.frustumM(projectionMatrix, 0, -ratio, ratio, -1, 1, 3, 7);\n}\n```\n\nThis code populates a projection matrix, `mProjectionMatrix` which you can then combine\nwith a camera view transformation in the [onDrawFrame()](/reference/android/opengl/GLSurfaceView.Renderer#onDrawFrame(javax.microedition.khronos.opengles.GL10)) method, which is shown in the next section.\n\n**Note:** Just applying a projection transformation to your\ndrawing objects typically results in a very empty display. In general, you must also apply a camera\nview transformation in order for anything to show up on screen.\n\nDefine a camera view\n--------------------\n\nComplete the process of transforming your drawn objects by adding a camera view transformation as\npart of the drawing process in your renderer. In the following example code, the camera view\ntransformation is calculated using the [Matrix.setLookAtM()](/reference/android/opengl/Matrix#setLookAtM(float[], int, float, float, float, float, float, float, float, float, float))\nmethod and then combined with the previously calculated projection matrix. The combined\ntransformation matrices are then passed to the drawn shape. \n\n### Kotlin\n\n```kotlin\noverride fun onDrawFrame(unused: GL10) {\n ...\n // Set the camera position (View matrix)\n Matrix.setLookAtM(viewMatrix, 0, 0f, 0f, 3f, 0f, 0f, 0f, 0f, 1.0f, 0.0f)\n\n // Calculate the projection and view transformation\n Matrix.multiplyMM(vPMatrix, 0, projectionMatrix, 0, viewMatrix, 0)\n\n // Draw shape\n triangle.draw(vPMatrix)\n```\n\n### Java\n\n```java\n@Override\npublic void onDrawFrame(GL10 unused) {\n ...\n // Set the camera position (View matrix)\n Matrix.setLookAtM(viewMatrix, 0, 0, 0, 3, 0f, 0f, 0f, 0f, 1.0f, 0.0f);\n\n // Calculate the projection and view transformation\n Matrix.multiplyMM(vPMatrix, 0, projectionMatrix, 0, viewMatrix, 0);\n\n // Draw shape\n triangle.draw(vPMatrix);\n}\n```\n\nApply projection and camera transformations\n-------------------------------------------\n\nIn order to use the combined projection and camera view transformation matrix shown in the\npreviews sections, first add a matrix variable to the *vertex shader* previously defined\nin the `Triangle` class: \n\n### Kotlin\n\n```kotlin\nclass Triangle {\n\n private val vertexShaderCode =\n // This matrix member variable provides a hook to manipulate\n // the coordinates of the objects that use this vertex shader\n \"uniform mat4 uMVPMatrix;\" +\n \"attribute vec4 vPosition;\" +\n \"void main() {\" +\n // the matrix must be included as a modifier of gl_Position\n // Note that the uMVPMatrix factor *must be first* in order\n // for the matrix multiplication product to be correct.\n \" gl_Position = uMVPMatrix * vPosition;\" +\n \"}\"\n\n // Use to access and set the view transformation\n private var vPMatrixHandle: Int = 0\n\n ...\n}\n```\n\n### Java\n\n```java\npublic class Triangle {\n\n private final String vertexShaderCode =\n // This matrix member variable provides a hook to manipulate\n // the coordinates of the objects that use this vertex shader\n \"uniform mat4 uMVPMatrix;\" +\n \"attribute vec4 vPosition;\" +\n \"void main() {\" +\n // the matrix must be included as a modifier of gl_Position\n // Note that the uMVPMatrix factor *must be first* in order\n // for the matrix multiplication product to be correct.\n \" gl_Position = uMVPMatrix * vPosition;\" +\n \"}\";\n\n // Use to access and set the view transformation\n private int vPMatrixHandle;\n\n ...\n}\n```\n\nNext, modify the `draw()` method of your graphic objects to accept the combined\ntransformation matrix and apply it to the shape: \n\n### Kotlin\n\n```kotlin\nfun draw(mvpMatrix: FloatArray) { // pass in the calculated transformation matrix\n ...\n\n // get handle to shape's transformation matrix\n vPMatrixHandle = GLES20.glGetUniformLocation(mProgram, \"uMVPMatrix\")\n\n // Pass the projection and view transformation to the shader\n GLES20.glUniformMatrix4fv(vPMatrixHandle, 1, false, mvpMatrix, 0)\n\n // Draw the triangle\n GLES20.glDrawArrays(GLES20.GL_TRIANGLES, 0, vertexCount)\n\n // Disable vertex array\n GLES20.glDisableVertexAttribArray(positionHandle)\n}\n```\n\n### Java\n\n```java\npublic void draw(float[] mvpMatrix) { // pass in the calculated transformation matrix\n ...\n\n // get handle to shape's transformation matrix\n vPMatrixHandle = GLES20.glGetUniformLocation(mProgram, \"uMVPMatrix\");\n\n // Pass the projection and view transformation to the shader\n GLES20.glUniformMatrix4fv(vPMatrixHandle, 1, false, mvpMatrix, 0);\n\n // Draw the triangle\n GLES20.glDrawArrays(GLES20.GL_TRIANGLES, 0, vertexCount);\n\n // Disable vertex array\n GLES20.glDisableVertexAttribArray(positionHandle);\n}\n```\n\nOnce you have correctly calculated and applied the projection and camera view transformations,\nyour graphic objects are drawn in correct proportions and should look like this:\n\n\n**Figure 1.** Triangle drawn with a projection and camera view applied.\n\nNow that you have an application that displays your shapes in correct proportions, it's time to\nadd motion to your shapes."]]