计算机图形学——三维图形变换和空间变换

阿蓬2025

已于 2022-07-04 19:15:24 修改

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分类专栏：计算机图形学文章标签：图形学算法

于 2020-02-10 16:47:12 首次发布

本文链接：https://blog.youkuaiyun.com/qq_43405938/article/details/104250936

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本文详细介绍了3D图形变换的实现方法，包括平移、旋转等操作，并展示了如何通过矩阵运算来改变3D对象的空间位置。此外，还探讨了空间变换的过程，即如何根据变换矩阵调整3D对象的位置。

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1.图形变换

void translate3dMatrix(float Tx, float Ty, float Tz)
{
	Ccg3DTransDoc *pDoc = (Ccg3DTransDoc *)m_pView->GetDocument();
	m_whoObject->transMatrix[3][0] += Tx;
	m_whoObject->transMatrix[3][1] += Ty;
	m_whoObject->transMatrix[3][2] += Tz;
}

void rotateX3Dmatrix(float S, float C)
{
	Ccg3DTransDoc *pDoc = (Ccg3DTransDoc *)m_pView->GetDocument();
	for (int i = 0; i < 4; i++) {
		float temp;
		temp = m_whoObject->transMatrix[i][1] * C - m_whoObject->transMatrix[i][2] * S;
		m_whoObject->transMatrix[i][2] = m_whoObject->transMatrix[i][1] * S +
		m_whoObject->transMatrix[i][2] * C;
		m_whoObject->transMatrix[i][1] = temp;
	}
}

void rotateY3Dmatrix(float S, float C)
{
	Ccg3DTransDoc *pDoc = (Ccg3DTransDoc *)m_pView->GetDocument();
	for (int i = 0; i < 4; i++) {
		float temp;
		temp = m_whoObject->transMatrix[i][0] * C + m_whoObject->transMatrix[i][2] * S;
		m_whoObject->transMatrix[i][2] = -m_whoObject->transMatrix[i][0] * S +
		m_whoObject->transMatrix[i][2] * C;
		m_whoObject->transMatrix[i][0] = temp;
	}
}

void rotateZ3Dmatrix(float S, float C)
{
	Ccg3DTransDoc *pDoc = (Ccg3DTransDoc *)m_pView->GetDocument();
	for (int i = 0; i < 4; i++) {
		float temp;
		temp = m_whoObject->transMatrix[i][0] * C - m_whoObject->transMatrix[i][1] * S;
		m_whoObject->transMatrix[i][1] = m_whoObject->transMatrix[i][0] * S +
		m_whoObject->transMatrix[i][1] * C;
		m_whoObject->transMatrix[i][0] = temp;
	}
}

2.空间变换

void TransSpaceObject()
{
	Ccg3DTransDoc *pDoc = (Ccg3DTransDoc *)m_pView->GetDocument();
	// First Trans Object according to its matrix
	for (int i = 0; i < m_whoObject->polyCount; i++) {
		for (int j = 0; j < m_whoObject->objectSpace[i].polyCount; j++) {
			m_whoObject->objectSpace[i].transObject[j].x =
			m_whoObject->objectSpace[i].polyObject[j].x * m_whoObject->transMatrix[0][0]+
			m_whoObject->objectSpace[i].polyObject[j].y * m_whoObject->transMatrix[1][0]+
			m_whoObject->objectSpace[i].polyObject[j].z * m_whoObject->transMatrix[2][0]+
			m_whoObject->transMatrix[3][0];
			m_whoObject->objectSpace[i].transObject[j].y =
			m_whoObject->objectSpace[i].polyObject[j].x * m_whoObject->transMatrix[0][1]+
			m_whoObject->objectSpace[i].polyObject[j].y * m_whoObject->transMatrix[1][1]+
			m_whoObject->objectSpace[i].polyObject[j].z * m_whoObject->transMatrix[2][1]+
			m_whoObject->transMatrix[3][1];
			m_whoObject->objectSpace[i].transObject[j].z =
			m_whoObject->objectSpace[i].polyObject[j].x * m_whoObject->transMatrix[0][2]+
			m_whoObject->objectSpace[i].polyObject[j].y * m_whoObject->transMatrix[1][2]+
			m_whoObject->objectSpace[i].polyObject[j].z * m_whoObject->transMatrix[2][2]+
			m_whoObject->transMatrix[3][2];
		}
	}
}