/* * Copyright 2007 ZXing authors * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ // package com.google.zxing.common; use std::ops::Mul; use crate::{common::Result, point, Exceptions, Point}; use super::Quadrilateral; /** *

This class implements a perspective transform in two dimensions. Given four source and four * destination points, it will compute the transformation implied between them. The code is based * directly upon section 3.4.2 of George Wolberg's "Digital Image Warping"; see pages 54-56.

* * @author Sean Owen */ #[derive(Debug, Copy, Clone, PartialEq)] pub struct PerspectiveTransform { a11: f32, a12: f32, a13: f32, a21: f32, a22: f32, a23: f32, a31: f32, a32: f32, a33: f32, } impl PerspectiveTransform { #[allow(clippy::too_many_arguments)] fn new( a11: f32, a21: f32, a31: f32, a12: f32, a22: f32, a32: f32, a13: f32, a23: f32, a33: f32, ) -> Self { Self { a11, a12, a13, a21, a22, a23, a31, a32, a33, } } #[allow(clippy::too_many_arguments)] pub fn quadrilateralToQuadrilateral(dst: Quadrilateral, src: Quadrilateral) -> Result { if !src.is_convex() || !dst.is_convex() { return Err(Exceptions::ILLEGAL_STATE); } // let q_to_s = PerspectiveTransform::quadrilateralToSquare(x0, y0, x1, y1, x2, y2, x3, y3); // let s_to_q = // PerspectiveTransform::squareToQuadrilateral(x0p, y0p, x1p, y1p, x2p, y2p, x3p, y3p); let q_to_s = PerspectiveTransform::quadrilateralToSquare(dst); let s_to_q = PerspectiveTransform::squareToQuadrilateral(src); Ok(s_to_q * q_to_s) } pub fn transform_point(&self, point: Point) -> Point { let x = point.x; let y = point.y; let denominator = self.a13 * x + self.a23 * y + self.a33; Point::new( (self.a11 * x + self.a21 * y + self.a31) / denominator, (self.a12 * x + self.a22 * y + self.a32) / denominator, ) } pub fn transform_points_single(&self, points: &mut [Point]) { for point in points.iter_mut() { *point = self.transform_point(Point::new(point.x, point.y)); } // for point in points.iter_mut() { // // for (int i = 0; i < maxI; i += 2) { // let x = point.x; // let y = point.y; // let denominator = self.a13 * x + self.a23 * y + self.a33; // point.x = (self.a11 * x + self.a21 * y + self.a31) / denominator; // point.y = (self.a12 * x + self.a22 * y + self.a32) / denominator; // } } pub fn transform_points_double(&self, x_values: &mut [f32], y_valuess: &mut [f32]) { let n = x_values.len(); // for i in 0..n { for (x, y) in x_values.iter_mut().zip(y_valuess.iter_mut()).take(n) { // for (int i = 0; i < n; i++) { let denominator = self.a13 * *x + self.a23 * *y + self.a33; *x = (self.a11 * *x + self.a21 * *y + self.a31) / denominator; *y = (self.a12 * *x + self.a22 * *y + self.a32) / denominator; } } #[allow(clippy::too_many_arguments)] pub fn squareToQuadrilateral(square: Quadrilateral) -> Self { let [p0, p1, p2, p3] = square.0; let d3 = p0 - p1 + p2 - p3; if d3 == point(0.0, 0.0) { // Affine PerspectiveTransform::new( p1.x - p0.x, p2.x - p1.x, p0.x, p1.y - p0.y, p2.y - p1.y, p0.y, 0.0, 0.0, 1.0, ) } else { let d1 = p1 - p2; let d2 = p3 - p2; let denominator = d1.cross(d2); let a13 = d3.cross(d2) / denominator; let a23 = d1.cross(d3) / denominator; PerspectiveTransform::new( p1.x - p0.x + a13 * p1.x, p3.x - p0.x + a23 * p3.x, p0.x, p1.y - p0.y + a13 * p1.y, p3.y - p0.y + a23 * p3.y, p0.y, a13, a23, 1.0, ) } } #[allow(clippy::too_many_arguments)] pub fn quadrilateralToSquare(quad: Quadrilateral) -> Self { // Here, the adjoint serves as the inverse PerspectiveTransform::squareToQuadrilateral(quad).buildAdjoint() } fn buildAdjoint(&self) -> Self { // Adjoint is the transpose of the cofactor matrix: PerspectiveTransform::new( self.a22 * self.a33 - self.a23 * self.a32, self.a23 * self.a31 - self.a21 * self.a33, self.a21 * self.a32 - self.a22 * self.a31, self.a13 * self.a32 - self.a12 * self.a33, self.a11 * self.a33 - self.a13 * self.a31, self.a12 * self.a31 - self.a11 * self.a32, self.a12 * self.a23 - self.a13 * self.a22, self.a13 * self.a21 - self.a11 * self.a23, self.a11 * self.a22 - self.a12 * self.a21, ) } } impl Mul for PerspectiveTransform { type Output = PerspectiveTransform; fn mul(self, rhs: Self) -> Self::Output { PerspectiveTransform::new( self.a11 * rhs.a11 + self.a21 * rhs.a12 + self.a31 * rhs.a13, self.a11 * rhs.a21 + self.a21 * rhs.a22 + self.a31 * rhs.a23, self.a11 * rhs.a31 + self.a21 * rhs.a32 + self.a31 * rhs.a33, self.a12 * rhs.a11 + self.a22 * rhs.a12 + self.a32 * rhs.a13, self.a12 * rhs.a21 + self.a22 * rhs.a22 + self.a32 * rhs.a23, self.a12 * rhs.a31 + self.a22 * rhs.a32 + self.a32 * rhs.a33, self.a13 * rhs.a11 + self.a23 * rhs.a12 + self.a33 * rhs.a13, self.a13 * rhs.a21 + self.a23 * rhs.a22 + self.a33 * rhs.a23, self.a13 * rhs.a31 + self.a23 * rhs.a32 + self.a33 * rhs.a33, ) } }