All Math Department Calculator Related Post

    Bilinear Interpolation Calculator Enter the four corner values of a 2D grid and the target (x,y) point to compute the interpolated value instantly. Q₁₁ (x₁, y₁) Q₂₁ (x₂, y₁) Q₁₂ (x₁, y₂) Q₂₂ (x₂, y₂) x₁ (left) x₂ (right) y₁ (bottom) y₂ (top) Target Point to Interpolate Calculate Bilinear Interpolation f(x,y) = Q₁₁(1-t)(1-s) […]

    Linear Interpolation Calculator Enter two known points and a target x-value to find the interpolated y-value instantly. Known Point 1: x₁ Known Point 1: y₁ Known Point 2: x₂ Known Point 2: y₂ Target Value to Interpolate: x Calculate Linear Interpolation y = y₁ + (x − x₁) × (y₂ − y₁) /

    Convex Combination Calculator Instructions: Enter up to 5 points/vectors and their weights (λ). The weights must sum to 1 and be between 0 and 1. Point 1 (x₁, y₁): Point 2 (x₂, y₂): + Add Another Point (up to 5) Calculate Convex Combination Enter values and click calculate to see the result. About

Barycentric Coordinates Calculator Triangle Vertices Vertex A (x,y) Vertex B (x,y) Vertex C (x,y) Point P Inside Triangle Point P (x,y) Calculate Barycentric Coordinates Barycentric Coordinates Result Weight α (at A) 0.00 Weight β (at B) 0.00 Weight γ (at C) 0.00 About the Barycentric Coordinates Calculator The Barycentric Coordinates Calculator is a precise mathematical

    Affine Transformation Calculator Select Dimension: 2D Affine Transformation (3×3 Matrix)3D Affine Transformation (4×4 Matrix) Translation (Tx, Ty, Tz) Rotation Scaling Shear (2D Only) Default Values Create: 2D: Rotate 45° → Scale → Shear → Translate (50,30) 3D: Rotate X/Y/Z → Scale → Translate (50,30,20) Generate Affine Transformation Matrix About the Affine Transformation Calculator

    Scaling Matrix Calculator Select Dimension: 2D Scaling (3×3 Matrix)3D Scaling (4×4 Matrix) Scale Factor in X-direction (Sx): Scale Factor in Y-direction (Sy): Scale Factor in X-direction (Sx): Scale Factor in Y-direction (Sy): Scale Factor in Z-direction (Sz): Apply Uniform Scaling (same factor for all axes) Quick Examples: Uniform scaling: Sx = Sy =

    Translation Matrix Calculator Select Dimension: 2D Translation (3×3 Matrix)3D Translation (4×4 Matrix) Translation in X-direction (Tx): Translation in Y-direction (Ty): Translation in X-direction (Tx): Translation in Y-direction (Ty): Translation in Z-direction (Tz): Example: 2D: Tx = 5, Ty = 3 → Moves every point 5 units right and 3 units up 3D: Tx

    Shear Transformation Calculator Shear Type: 2D Horizontal Shear (X-direction)2D Vertical Shear (Y-direction)2D General Shear (Custom Direction)3D Shear (Choose Plane & Direction) Shear Factor k (shifts Y by k·X): Shear Factor m (shifts X by m·Y): Angle of Shear Direction (degrees): Shear Factor k: Shear Plane: XY Plane (shear in Z direction)XZ Plane (shear

    Reflection Matrix Calculator Reflection Type: 2D Reflection over a Line through Origin2D Reflection over Arbitrary Line3D Reflection over a Plane through Origin3D Reflection over Arbitrary PlaneReflection over X, Y, or Z Axis/Plane Angle of Line with X-axis (degrees): Point on Line (x,y): Normal Vector to Line (nx, ny): Normal Vector to Plane (nx,

    Rotation Matrix Calculator Rotation Type: 2D Rotation (counterclockwise)3D Rotation about X/Y/Z Axis3D Rotation about Arbitrary Axis (Axis-Angle) Angle θ (degrees): Rotation Axis: X-axis (Roll)Y-axis (Yaw)Z-axis (Pitch) Angle θ (degrees): Axis Vector (ux, uy, uz) – must be unit vector: Angle θ (degrees): Generate Rotation Matrix About the Rotation Matrix Calculator The Rotation Matrix