2D Reflection

The Reflection is a mirror image of the original object. In the Reflection process, the size of the object does not change.

We can represent Reflection by using four ways-

1. Reflection along X-axis: In this kind of Reflection, the value of X is positive, and the value of Y is negative.

We can represent the Reflection along x-axis by following equation-

X­₁ = X₀

Y₁ = -Y₀

We can also represent Reflection in the form of matrix-

Homogeneous Coordinate Representation: We can also represent the Reflection along x-axis in the form of 3 x 3 matrix-

• Reflection along Y-axis: In this kind of Reflection, the value of X is negative, and the value of Y is positive.

We can represent the Reflection along y-axis by following equation-

X₁ = -X₀

Y₁ = Y₀

We can also represent Reflection in the form of matrix-

Homogeneous Coordinate Representation: We can also represent the Reflection along x-axis in the form of 3 x 3 matrix-

• Reflection perpendicular to XY plane: In this kind of Reflection, the value of both X and Y is negative.

We can represent the Reflection along y-axis by following equation-

X₁ = -X₀

Y₁ = -Y₀

We can also represent Reflection in the form of matrix-

Homogeneous Coordinate Representation: We can also represent the Reflection along with x-axis in the form of 3 x 3 matrix-

• Reflection along with the line: In this kind of Reflection, the value of X is equal to the value of Y.

We can represent the Reflection along y-axis by following equation-

Y=X, then the points are (Y, X)

Y= -X, then the points are (-Y, -X)

We can also represent Reflection in the form of matrix-

Homogeneous Coordinate Representation: We can also represent the Reflection along with x-axis in the form of 3 x 3 matrix-