Apr 15, 2024 · 2D Transformation in Computer Graphics | Set 1 (Scaling of Objects) We can use a 2 × 2 matrix to change or transform, a 2D vector. This kind of operation, which takes in a 2-vector and produces another 2-vector by a simple matrix multiplication, is a linear transformation.

Learnt about composite 2D transformations and representation in homogeneous coordinates. Also learnt the steps to solve complex transformation problems

The algorithms used inside 2D graphics include rasterization, anti-aliasing, clipping, Bresenham’s line algorithm, Bezier curves, transformations, color models, text rendering, and compositing. These algorithms were used towards create a wide range of visual content, from simple shapes and lines towards complex compositions and visual effects.

In this paper, we use statistical and visual perception experiments to study the factors that influence the realism of image composites, and propose an automated method to increase their realism.

Mar 17, 2025 · Composition of two Scaling: The composition of two scaling is multiplicative. Let S 11 and S 12 are matrix to be multiplied. A number of transformations or sequence of transformations can be combined into single one called as composition. The resulting matrix is called as composite...

Key idea for compositing: Alpha channel • Alpha represents the masking matte • means opaque. ↵ = 1 • Alpha

CS148: Introduction to Computer Graphics and Imaging Image Compositing Colbert Challenge CS148 Lecture 11 Pat Hanrahan, Winter 2008 Key Concepts Optical compositing and mattes The alpha channel Compositing operators Premultipled alpha Matte extraction

Department of Computer Science Center for Visual Computing 2D Shear and Geometric Meaning • Shear operation along the x-axis • Shear operation along the y-axis CSE528 Lectures

Computer Graphics 2D Rigid Transformations A rigid transformation maps one coordinate system into another Preserves distances and angles To transform points from one coordinate frame to another, find the rigid transformation that brings the two coordinate frames in alignment Translate so that their origins coincide

Department of Computer Science Center for Visual Computing 2D Shear • Consider more complicated cases! • Various examples are shown in the class! CSE328 Lectures