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Three-Dimensional Geometric Transformation in Computer Graphics

Explore translation, rotation, and scaling in 3D space, matrix representation, and homogenous transformation in graphics applications. Solve practice problems for self-study.

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Three-Dimensional Geometric Transformation in Computer Graphics

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  1. CSE 403: Computer Graphics Graphics Application Three Dimensional Transformation: y x z Prof. Dr. A. H. M. Kamal, CSE, JKKNIU

  2. CSE 403: Computer Graphics Graphics Application Three Dimensional Transformation: Geometric Transformation y Translation Rotation Scaling x z Prof. Dr. A. H. M. Kamal, CSE, JKKNIU

  3. CSE 403: Computer Graphics Graphics Application Three Dimensional Transformation: Geometric Transformation y Translation Rotation Scaling Let an object is at (x, y, z) location. Consider a transformation vector is Translated point: x Representing homogenous transformation as a matrix: z Prof. Dr. A. H. M. Kamal, CSE, JKKNIU

  4. CSE 403: Computer Graphics Graphics Application Three Dimensional Transformation: Geometric Transformation Translation Rotation Scaling Let an object is at (x, y, z) location. Rotating about z axis: Rotating about yaxis: Rotating about x axis: Matrix representation Prof. Dr. A. H. M. Kamal, CSE, JKKNIU

  5. CSE 403: Computer Graphics Graphics Application Three Dimensional Transformation: Geometric Transformation y Translation Rotation Scaling Let an object is at (x, y, z) location. Rotating about z axis: x Rotating about x axis: θ z Rotating about yaxis: Representing homogenous transformation as a matrix: Prof. Dr. A. H. M. Kamal, CSE, JKKNIU

  6. CSE 403: Computer Graphics Graphics Application Three Dimensional Transformation: Geometric Transformation y Translation Rotation Scaling Let an object is at (x, y, z) location. Consider a transformation: Scaling factor s, s>1 means magnification s<1 means reduction Point after Scaling: x Representing homogenous transformation as a matrix: z Prof. Dr. A. H. M. Kamal, CSE, JKKNIU

  7. CSE 403: Computer Graphics Graphics Application Three Dimensional Transformation: Geometric Transformation Prof. Dr. A. H. M. Kamal, CSE, JKKNIU

  8. CSE 403: Computer Graphics Graphics Application Three Dimensional Transformation: Geometric Transformation SELF STUDY: Solved problems 6.3, 6.6, 6.7 Prof. Dr. A. H. M. Kamal, CSE, JKKNIU

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