套用投影和相機檢視畫面
透過集合功能整理內容
你可以依據偏好儲存及分類內容。
在 OpenGL ES 環境中,投影和相機檢視畫面可讓您在
建立出類似您眼中實際物體的感覺。這張模擬
實際檢視畫面是利用已繪製物件座標的數學轉換完成:
- 投影 - 此轉換會根據
顯示該元素的位置
GLSurfaceView
的寬度和高度。不含
則 OpenGL ES 繪製的物件,會因檢視區塊的不等比例偏移而偏移
視窗。一般來說,只有在
您可以在轉譯器的 onSurfaceChanged()
方法中建立或變更 OpenGL 檢視畫面。進一步瞭解 OpenGL ES 投影和
座標對應,請參閱
繪製的對應座標
物件。
- Camera View - 此轉換會根據
虛擬攝影機位置。需要注意的是,OpenGL ES 不會定義實際的相機鏡頭
而是提供模擬相機的公用程式方法,
繪製的物件。建立攝影機畫面時,攝影機畫面可能只會計算一次
GLSurfaceView
,也可以根據使用者動作或您的
應用程式的功能
本課程將說明如何建立投影和相機檢視畫面,以及如何將其套用至繪製的形狀
您的 GLSurfaceView
。
定義投影
投影轉換的資料會在 onSurfaceChanged()
中計算。
GLSurfaceView.Renderer
類別的方法。以下程式碼範例
會使用 GLSurfaceView
的高度和寬度填入
使用 Matrix.frustumM()
方法進行投影轉換 Matrix
:
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);
}
此程式碼會填入投影矩陣 mProjectionMatrix
,您可以接著將其合併
並在 onDrawFrame()
方法中使用相機檢視轉換,如下一節所示。
注意:只要將投影轉換套用至
繪圖物件通常無法顯示。一般來說,您也必須手上一台相機
查看轉換,這樣畫面上就會顯示任何項目。
定義攝影機檢視畫面
將鏡頭檢視轉換相加,即可完成繪製所繪製物件的程序。
為轉譯器中繪圖程序的一部分在以下範例程式碼中,相機檢視畫面
轉換是透過 Matrix.setLookAtM()
計算而得
方法,然後與先前計算的投影矩陣結合。結合
接著,轉換矩陣會傳遞至繪製的形狀。
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);
}
如要使用合併的投影與相機檢視轉換矩陣,
預覽區段,首先在先前定義的頂點著色器中加入矩陣變數
在 Triangle
類別中:
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;
...
}
接著,修改圖形物件的 draw()
方法,使其接受合併
轉換矩陣並套用至形狀:
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);
}
正確計算並套用投影與相機檢視轉換後,
圖形物件的繪製比例正確,應如下所示:
圖 1. 套用投影及相機檢視畫面的繪製三角形。
您的應用程式現在能以正確比例顯示形狀,接下來請
在圖案中加入動態效果
這個頁面中的內容和程式碼範例均受《內容授權》中的授權所規範。Java 與 OpenJDK 是 Oracle 和/或其關係企業的商標或註冊商標。
上次更新時間:2025-07-27 (世界標準時間)。
[[["容易理解","easyToUnderstand","thumb-up"],["確實解決了我的問題","solvedMyProblem","thumb-up"],["其他","otherUp","thumb-up"]],[["缺少我需要的資訊","missingTheInformationINeed","thumb-down"],["過於複雜/步驟過多","tooComplicatedTooManySteps","thumb-down"],["過時","outOfDate","thumb-down"],["翻譯問題","translationIssue","thumb-down"],["示例/程式碼問題","samplesCodeIssue","thumb-down"],["其他","otherDown","thumb-down"]],["上次更新時間:2025-07-27 (世界標準時間)。"],[],[],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."]]