1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
|
/* Copyright 2016 The TensorFlow Authors. All Rights Reserved.
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.
==============================================================================*/
#ifndef TENSORFLOW_CONTRIB_IMAGE_KERNELS_IMAGE_OPS_H_
#define TENSORFLOW_CONTRIB_IMAGE_KERNELS_IMAGE_OPS_H_
// See docs in ../ops/image_ops.cc.
#define EIGEN_USE_THREADS
#include "third_party/eigen3/unsupported/Eigen/CXX11/Tensor"
#include "tensorflow/core/framework/tensor_types.h"
#include "tensorflow/core/platform/types.h"
namespace tensorflow {
namespace generator {
enum Interpolation { INTERPOLATION_NEAREST, INTERPOLATION_BILINEAR };
using Eigen::array;
using Eigen::DenseIndex;
template <typename Device, typename T>
class ProjectiveGenerator {
private:
typename TTypes<T, 4>::ConstTensor input_;
typename TTypes<float>::ConstMatrix transforms_;
const Interpolation interpolation_;
public:
static const int kNumParameters = 8;
EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE
ProjectiveGenerator(typename TTypes<T, 4>::ConstTensor input,
typename TTypes<float>::ConstMatrix transforms,
const Interpolation interpolation)
: input_(input), transforms_(transforms), interpolation_(interpolation) {}
EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE T
operator()(const array<DenseIndex, 4>& coords) const {
const int64 output_y = coords[1];
const int64 output_x = coords[2];
const float* transform =
transforms_.dimension(0) == 1
? transforms_.data()
: &transforms_.data()[transforms_.dimension(1) * coords[0]];
float projection = transform[6] * output_x + transform[7] * output_y + 1.f;
const float input_x =
(transform[0] * output_x + transform[1] * output_y + transform[2]) /
projection;
const float input_y =
(transform[3] * output_x + transform[4] * output_y + transform[5]) /
projection;
// TODO(ringwalt): Add a fill value input.
static const T fill_value = T(0);
switch (interpolation_) {
case INTERPOLATION_NEAREST:
// Switch the order of x and y again for indexing into the image.
return nearest_interpolation(coords[0], input_y, input_x, coords[3],
fill_value);
case INTERPOLATION_BILINEAR:
return bilinear_interpolation(coords[0], input_y, input_x, coords[3],
fill_value);
}
// Unreachable; ImageProjectiveTransform only uses INTERPOLATION_NEAREST
// or INTERPOLATION_BILINEAR.
return T(0);
}
private:
EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE T
nearest_interpolation(const DenseIndex batch, const float y, const float x,
const DenseIndex channel, const T fill_value) const {
return read_with_fill_value(batch, DenseIndex(std::round(y)),
DenseIndex(std::round(x)), channel, fill_value);
}
EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE T
bilinear_interpolation(const DenseIndex batch, const float y, const float x,
const DenseIndex channel, const T fill_value) const {
const float y_floor = std::floor(y);
const float x_floor = std::floor(x);
const float y_ceil = y_floor + 1;
const float x_ceil = x_floor + 1;
// f(x, y_floor) = (x_ceil - x) / (x_ceil - x_floor) * f(x_floor, y_floor)
// + (x - x_floor) / (x_ceil - x_floor) * f(x_ceil, y_floor)
const float value_yfloor =
(x_ceil - x) * read_with_fill_value(batch, DenseIndex(y_floor),
DenseIndex(x_floor), channel,
fill_value) +
(x - x_floor) * read_with_fill_value(batch, DenseIndex(y_floor),
DenseIndex(x_ceil), channel,
fill_value);
// f(x, y_ceil) = (x_ceil - x) / (x_ceil - x_floor) * f(x_floor, y_ceil)
// + (x - x_floor) / (x_ceil - x_floor) * f(x_ceil, y_ceil)
const float value_yceil =
(x_ceil - x) * read_with_fill_value(batch, DenseIndex(y_ceil),
DenseIndex(x_floor), channel,
fill_value) +
(x - x_floor) * read_with_fill_value(batch, DenseIndex(y_ceil),
DenseIndex(x_ceil), channel,
fill_value);
// f(x, y) = (y_ceil - y) / (y_ceil - y_floor) * f(x, y_floor)
// + (y - y_floor) / (y_ceil - y_floor) * f(x, y_ceil)
return T((y_ceil - y) * value_yfloor + (y - y_floor) * value_yceil);
}
EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE T read_with_fill_value(
const DenseIndex batch, const DenseIndex y, const DenseIndex x,
const DenseIndex channel, const T fill_value) const {
// batch and channel must be correct, because they are passed unchanged from
// the input.
return (0 <= y && y < input_.dimension(1) && 0 <= x &&
x < input_.dimension(2))
? input_(array<DenseIndex, 4>{batch, y, x, channel})
: fill_value;
}
};
} // end namespace generator
// NOTE(ringwalt): We MUST wrap the generate() call in a functor and explicitly
// instantiate the functor in image_ops_gpu.cu.cc. Otherwise, we will be missing
// some Eigen device code.
namespace functor {
using generator::Interpolation;
using generator::ProjectiveGenerator;
template <typename Device, typename T>
struct FillProjectiveTransform {
typedef typename TTypes<T, 4>::Tensor OutputType;
typedef typename TTypes<T, 4>::ConstTensor InputType;
typedef typename TTypes<float, 2>::ConstTensor TransformsType;
const Interpolation interpolation_;
FillProjectiveTransform(Interpolation interpolation)
: interpolation_(interpolation) {}
EIGEN_ALWAYS_INLINE
void operator()(const Device& device, OutputType* output,
const InputType& images,
const TransformsType& transform) const {
output->device(device) = images.generate(
ProjectiveGenerator<Device, T>(images, transform, interpolation_));
}
};
} // end namespace functor
} // end namespace tensorflow
#endif // TENSORFLOW_CONTRIB_IMAGE_KERNELS_IMAGE_OPS_H_
|
