FSU Linear Algebra Project

Apply linear transformations to BMP images in Rust with 0 dependencies!

This program applies a numebr of linear transaformations to input.bmp and encodes the result in both SVG and BMP formats. The output images are stored in the transformed_images directory.

Project Structure

• raster.rs provides a format agnostic in-memory representation for raster images.
• bmp.rs provides routines for encoding/decoding .bmp files.
• quilt.rs provides a mechanism for transforming a raster image into a quilt of parallelograms. Linear transformations can then be applied to the vertex matrix of this quilt.
• rasterize.rs provides an rasterization algorithm for transforming quilts into raster images.
• svg.rs provides a routine for encoding a quilt as an SVG file.
• geom.rs provides mathematical primitives, notably a euclidean distance function, and various arithmetic vector operations. These are used during rasterization.
• main.rs provides routines for applying a number of standard linear transformation, including the identity transformation, translation, rotation, scaling, stretching, etc.

Bugs

• The part2_translating.bmp does not match part2_translating.svg. I believe there is some edge case during rasterization which I am missing, and that this edge case is causing the inconsistency. As of yet I do not see the issue.

Transformations

Identity

Scaling

Rotating

Reflecting

Color Transfrom

Stretching