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-

1 = X0

Y1 = -Y0

We can also represent Reflection in the form of matrix-

2D Reflection

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

2D Reflection 2D Reflection
  • 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-

2D Reflection

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

2D Reflection 2D Reflection
  • 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-

2D Reflection

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

2D Reflection 2D Reflection
  • 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-

2D Reflection

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

2D Reflection 2D Reflection



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