I want to scale a rectangle in OpenGL using the scaling transformation matrix. The vertices of the rectangle are (325,320), (460,320), (460,150), and (325,150). I have defined a function to execute the transformation and kept the scaling factor as the parameter of the function. But when I call the function, the rectangle reduces in size but does not stay in its initial position. How can I scale it while keeping it in its original position? Here's my code for scaling the rectangle: def scaling(sc): s = np.array([[sc, 0, 0], [0, sc, 0], [0, 0, 1]]) v1 = np.array([[325], [320], [1]]) v2 = np.array([[460], [320], [1]]) v3 = np.array([[460], [150], [1]]) v4 = np.array([[325], [150], [1]]) v11 = np.matmul(s, v1) v22 = np.matmul(s, v2) v33 = np.matmul(s, v3) v44 = np.matmul(s, v4) glColor3f(1.5, 0.17, 0) glBegin(GL_QUADS) glVertex2f(v11[0][0], v11[1][0]) glVertex2f(v22[0][0], v22[1][0]) glVertex2f(v33[0][0], v33[1][0]) glVertex2f(v44[0][0], v44[1][0]) glEnd()

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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I want to scale a rectangle in OpenGL using the scaling transformation matrix. The vertices of the rectangle are (325,320), (460,320), (460,150), and (325,150). I have defined a function to execute the transformation and kept the scaling factor as the parameter of the function. But when I call the function, the rectangle reduces in size but does not stay in its initial position. How can I scale it while keeping it in its original position?

Here's my code for scaling the rectangle:

def scaling(sc): s = np.array([[sc, 0, 0], [0, sc, 0], [0, 0, 1]]) v1 = np.array([[325], [320], [1]]) v2 = np.array([[460], [320], [1]]) v3 = np.array([[460], [150], [1]]) v4 = np.array([[325], [150], [1]]) v11 = np.matmul(s, v1) v22 = np.matmul(s, v2) v33 = np.matmul(s, v3) v44 = np.matmul(s, v4) glColor3f(1.5, 0.17, 0) glBegin(GL_QUADS) glVertex2f(v11[0][0], v11[1][0]) glVertex2f(v22[0][0], v22[1][0]) glVertex2f(v33[0][0], v33[1][0]) glVertex2f(v44[0][0], v44[1][0]) glEnd()

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