CSE 403 Computer Graphics Three Dimensional Transformation y

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CSE 403: Computer Graphics Three Dimensional Transformation: y x z Prof. Dr. A. H.

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

CSE 403: Computer Graphics Three Dimensional Transformation: Geometric Transformation Translation Rotation Scaling y x

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

CSE 403: Computer Graphics Three Dimensional Transformation: Geometric Transformation Translation Rotation Scaling Let an

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

CSE 403: Computer Graphics Three Dimensional Transformation: Geometric Transformation Translation Rotation Scaling Let an

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

CSE 403: Computer Graphics Three Dimensional Transformation: Geometric Transformation Translation Rotation Scaling Let an

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

CSE 403: Computer Graphics Three Dimensional Transformation: Geometric Transformation Translation Rotation Scaling Let an

CSE 403: Computer Graphics Three Dimensional Transformation: Geometric Transformation 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 y Point after Scaling: x z Representing homogenous transformation as a matrix: Prof. Dr. A. H. M. Kamal, CSE, Graphics Application

CSE 403: Computer Graphics Three Dimensional Transformation: Geometric Transformation Prof. Dr. A. H. M.

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

CSE 403: Computer Graphics Three Dimensional Transformation: Geometric Transformation SELF STUDY: Solved problems 6.

CSE 403: Computer Graphics Three Dimensional Transformation: Geometric Transformation SELF STUDY: Solved problems 6. 3, 6. 6, 6. 7 Prof. Dr. A. H. M. Kamal, CSE, Graphics Application

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