1 /* 2 * Licensed to the Apache Software Foundation (ASF) under one or more 3 * contributor license agreements. See the NOTICE file distributed with 4 * this work for additional information regarding copyright ownership. 5 * The ASF licenses this file to You under the Apache License, Version 2.0 6 * (the "License"); you may not use this file except in compliance with 7 * the License. You may obtain a copy of the License at 8 * 9 * http://www.apache.org/licenses/LICENSE-2.0 10 * 11 * Unless required by applicable law or agreed to in writing, software 12 * distributed under the License is distributed on an "AS IS" BASIS, 13 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 14 * See the License for the specific language governing permissions and 15 * limitations under the License. 16 */ 17 package org.apache.commons.geometry.euclidean; 18 19 import org.apache.commons.geometry.core.Transform; 20 21 /** Interface representing affine transforms in Euclidean space. An affine transform is one that preserves 22 * points, straight lines, planes, and sets of parallel lines. Common affine transforms include translation, 23 * rotation, scaling, reflection and any compositions thereof. 24 * 25 * @param <V> Vector implementation type 26 * @see <a href="https://en.wikipedia.org/wiki/Affine_transformation">Affine Transformation</a> 27 */ 28 public interface EuclideanTransform<V extends EuclideanVector<V>> extends Transform<V> { 29 30 /** Apply this transform to the given vector, ignoring translations. 31 * 32 * <p>This method can be used to transform vector instances representing displacements between points. 33 * For example, if {@code v} represents the difference between points {@code p1} and {@code p2}, 34 * then {@code transform.applyVector(v)} will represent the difference between {@code p1} and {@code p2} 35 * after {@code transform} is applied. 36 * </p> 37 * 38 * @param vec the vector to transform 39 * @return the new, transformed vector 40 */ 41 V applyVector(V vec); 42 }