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BCA-305N · Computer Graphics and Animation
Unit 2

2D Transformations, Window-to-Viewport Mapping & 3D Projections

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Unit 2 Learning Hub

2D Transformations, Window-to-Viewport Mapping & 3D Projections

Official MJPRU BCA Unit 2: 2D Transformations, Window-to-Viewport Mapping & 3D Projections for BCA-305N (Computer Graphics and Animation).

Syllabus Topics:2D Geometric Transformations: Translation (P' = P + T), Scaling (x' = x*Sx, y' = y*Sy), Rotation about the Origin (θ)Matrix Representations of 2D Transformations: Coordinate Vectors, Transformation Matrices, Linearity and LimitationsHomogeneous Coordinate Systems: Need for Homogeneous Representation, Projective Geometry, Matrix Representation (3x3)Composite 2D Transformations: Matrix Multiplication Order, Non-Commutative Nature, Successive Translations, Scalings, RotationsGeneral 2D Rotation about an Arbitrary Point (xr, yr): Translation to Origin, Rotation, Inverse Translation SequenceOther 2D Transformations: Reflection (About X-Axis, Y-Axis, Origin, Line y = x), Shear Transformations (X-Shear, Y-Shear)Window-to-Viewport Coordinate Transformation: World Coordinate System (WCS), Viewing Coordinates, Normalized Device Coordinates (NDC)Viewing Pipeline & Clipping Operations: Interior vs Exterior Clipping, Point Clipping Algorithm against Rectangular WindowCohen-Sutherland Line Clipping Algorithm: 4-Bit Outcodes (Top, Bottom, Right, Left), Trivial Accept, Trivial Reject, Intersection CalculationsMidpoint Subdivision Line Clipping Algorithm: Binary Search Approach, Hardware Implementations for Line ClippingPolygon Clipping: Sutherland-Hodgeman Polygon Clipping Algorithm, Edge-by-Edge Processing (Left, Right, Bottom, Top), Vertex Output RulesText Clipping Techniques: All-or-None String Clipping, All-or-None Character Clipping, Component Character/Stroke Clipping3D Geometric Transformations: 3D Homogeneous Coordinates (4x4 Matrices), 3D Translation, 3D Scaling, 3D Rotation (X, Y, Z axes)3D Projections: Taxonomy, Parallel Projection (Orthographic, Oblique - Cavalier, Cabinet), Perspective Projection (Vanishing Points, Center of Projection)
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Introduction to Computers & The IPO Cycle

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Topic 1 · The foundation of modern computing

Introduction to Computers & The IPO Cycle

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Ready to master this concept? Give it a quick read & tap the check!

💡 The Big Picture:A computer is an electronic system that takes raw data as Input, processes it under programmed logic, and produces meaningful Information as Output.
🍪 Everyday Analogy:Think of baking cookies: Flour & Sugar (Input) ➔ The Oven (Processing) ➔ Warm Delicious Cookie (Output)! 🍪
Key Exam Takeaways
  • ·Data = Raw, unprocessed facts without context (e.g. 42, 'apple').
  • ·Information = Structured data with meaning (e.g. 'Temperature: 42°C').
  • ·Hardware is what you can touch; Software is the instructions running inside.
Instant Knowledge Check
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Which of the following represents unprocessed raw facts?

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