Wavelet equalizer: changed to edge-avoiding wavelets (as of Fattal)

This commit is contained in:
Ilia Popov
2010-07-03 23:44:08 +02:00
parent 2e3d6d156e
commit 6d5fc87c3d
3 changed files with 97 additions and 36 deletions

View File

@@ -192,13 +192,16 @@ void idwt_53(T * data, size_t pitch, T * buffer, size_t n, int alpha)
template<typename T> template<typename T>
inline T wcdf_weight(T a, T b) inline T wcdf_weight(T a, T b)
{ {
static const T eps = 1e-5; static const T eps = 1;
static const T one = 1.0; static const T one = 1.0;
return one / (abs(a - b) + eps); // will use overloaded abs for floating numbers return one / (fabs(a - b) + eps);
} }
// buffer is a temporary storage
// buffer2 must be preserved between dwt and idwt
template<typename T> template<typename T>
void dwt_wcdf(T * data, size_t pitch, T * buffer, T * buffer2, size_t n) void dwt_wcdf(T * data, size_t pitch, T * buffer, size_t n, T * buffer2)
{ {
size_t n2 = n/2; size_t n2 = n/2;
size_t n2a = (n + 1) / 2; size_t n2a = (n + 1) / 2;
@@ -225,10 +228,11 @@ void dwt_wcdf(T * data, size_t pitch, T * buffer, T * buffer2, size_t n)
for(ptrdiff_t i = 0; i < (ptrdiff_t)n - 1; i++) for(ptrdiff_t i = 0; i < (ptrdiff_t)n - 1; i++)
{ {
w[i] = wcdf_weight(tmp[i], tmp[i+1]); w[i] = wcdf_weight(tmp[i], tmp[i+1]);
//w[i] = 1;
} }
w[-1] = w[-2] = (T)0.0; w[-1] = w[-2] = (T)0.0;
w[n] = w[n + 1] = (T)0.0; w[n-1] = w[n] = w[n + 1] = (T)0.0;
// calculate coefficients // calculate coefficients
@@ -255,6 +259,54 @@ void dwt_wcdf(T * data, size_t pitch, T * buffer, T * buffer2, size_t n)
} }
} }
template<typename T>
void idwt_wcdf(T * data, size_t pitch, T * buffer, size_t n, int alpha, T * buffer2)
{
size_t n2 = n/2;
size_t n2a = (n + 1) / 2;
T * tmp = buffer + 2;
T * w = buffer2 + 2;
// copy with reordering
for(size_t i = 0, j = 0; i < n; i+=2, j += pitch)
{
tmp[i] = data[j];
}
for(size_t i = 1, j = n2a*pitch; i < n; i+=2, j += pitch)
{
tmp[i] = (alpha * data[j]) / 1024;
}
// extend mirror-like
tmp[-1] = tmp[1];
tmp[-2] = tmp[2];
tmp[n] = tmp[n-2];
tmp[n+1] = tmp[n-3];
// calculate coefficients
for(ptrdiff_t i = 0; i < (ptrdiff_t)n; i += 2)
{
tmp[i] = tmp[i] - (T)0.5 * (w[i-1]*tmp[i-1] + w[i]*tmp[i+1]) / (w[i-1] + w[i]);
}
for(ptrdiff_t i = 1; i < (ptrdiff_t)n; i += 2)
{
tmp[i] = tmp[i] + (w[i-1]*tmp[i-1] + w[i]*tmp[i+1]) / (w[i-1] + w[i]);
}
// copy data
for(size_t i = 0, j = 0; i < n; i++, j += pitch)
{
data[j] = tmp[i];
}
}
//////////////////////////////////////////////////////////////////////////////
#endif #endif

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@@ -30,7 +30,7 @@ class wavelet_decomposition
{ {
public: public:
typedef int internal_type; typedef float internal_type;
private: private:

View File

@@ -86,16 +86,17 @@ class wavelet_level
// size of low frequency part // size of low frequency part
size_t m_w2, m_h2; size_t m_w2, m_h2;
// distance between lines in the array of coeffs
size_t m_pitch;
// array of pointers to lines of coeffs // array of pointers to lines of coeffs
// actually is a single contiguous data array pointed by m_coeffs[0] // actually is a single contiguous data array pointed by m_coeffs[0]
T ** m_coeffs; T ** m_coeffs;
// weights storage
T ** m_weights_rows;
T ** m_weights_cols;
// allocation and destruction of data storage // allocation and destruction of data storage
void create(); T ** create(size_t w, size_t h);
void destroy(); void destroy(T ** p);
void dwt_2d(size_t w, size_t h); void dwt_2d(size_t w, size_t h);
void idwt_2d(size_t w, size_t h, int alpha); void idwt_2d(size_t w, size_t h, int alpha);
@@ -104,16 +105,21 @@ public:
template<typename E> template<typename E>
wavelet_level(E ** src, size_t w, size_t h) wavelet_level(E ** src, size_t w, size_t h)
: m_w(w), m_h(h), m_w2((w+1)/2), m_h2((h+1)/2), m_pitch(0), m_coeffs(NULL) : m_w(w), m_h(h), m_w2((w+1)/2), m_h2((h+1)/2),
m_coeffs(NULL), m_weights_rows(NULL), m_weights_cols(NULL)
{ {
create(); m_coeffs = create(w, h);
m_weights_rows = create(w + 4, h);
m_weights_cols = create(h + 4, w);
decompose(src); decompose(src);
} }
~wavelet_level() ~wavelet_level()
{ {
destroy(); destroy(m_coeffs);
destroy(m_weights_rows);
destroy(m_weights_cols);
} }
T ** lowfreq() const T ** lowfreq() const
@@ -148,13 +154,15 @@ void wavelet_level<T>::dwt_2d(size_t w, size_t h)
for(size_t j = 0; j < h; j++) for(size_t j = 0; j < h; j++)
{ {
//dwt_haar(m_coeffs[j], 1, buffer, w); //dwt_haar(m_coeffs[j], 1, buffer, w);
dwt_53(m_coeffs[j], 1, buffer, w); //dwt_53(m_coeffs[j], 1, buffer, w);
dwt_wcdf(m_coeffs[j], 1, buffer, w, m_weights_rows[j]);
} }
for(size_t i = 0; i < w; i++) for(size_t i = 0; i < w; i++)
{ {
//dwt_haar(&m_coeffs[0][i], m_pitch, buffer, h); //dwt_haar(&m_coeffs[0][i], m_pitch, buffer, h);
dwt_53(&m_coeffs[0][i], m_pitch, buffer, h); //dwt_53(&m_coeffs[0][i], w, buffer, h);
dwt_wcdf(&m_coeffs[0][i], w, buffer, h, m_weights_cols[i]);
} }
delete[] buffer; delete[] buffer;
@@ -165,44 +173,45 @@ void wavelet_level<T>::idwt_2d(size_t w, size_t h, int alpha)
{ {
T * buffer = new T[std::max(w, h) + 4]; T * buffer = new T[std::max(w, h) + 4];
for(size_t j = 0; j < h; j++)
{
//idwt_haar(m_coeffs[j], 1, buffer, w, alpha);
idwt_53(m_coeffs[j], 1, buffer, w, alpha);
}
for(size_t i = 0; i < w; i++) for(size_t i = 0; i < w; i++)
{ {
//idwt_haar(&m_coeffs[0][i], m_pitch, buffer, h, alpha); //idwt_haar(&m_coeffs[0][i], m_pitch, buffer, h, alpha);
idwt_53(&m_coeffs[0][i], m_pitch, buffer, h, alpha); //idwt_53(&m_coeffs[0][i], w, buffer, h, alpha);
idwt_wcdf(&m_coeffs[0][i], w, buffer, h, alpha, m_weights_cols[i]);
//idwt_noop(&m_coeffs[0][i], w, buffer, h, alpha);
} }
for(size_t j = 0; j < h; j++)
{
//idwt_haar(m_coeffs[j], 1, buffer, w, alpha);
//idwt_53(m_coeffs[j], 1, buffer, w, alpha);
idwt_wcdf(m_coeffs[j], 1, buffer, w, alpha, m_weights_rows[j]);
//idwt_noop(m_coeffs[j], 1, buffer, w, alpha);
}
delete[] buffer; delete[] buffer;
} }
template<typename T> template<typename T>
void wavelet_level<T>::create() T ** wavelet_level<T>::create(size_t w, size_t h)
{ {
// 16-byte alignment: no effect T * data = new T[w * h];
//m_pitch = (((m_w*sizeof(T) + 15) / 16) * 16) / sizeof(T); T ** p = new T*[h];
m_pitch = m_w; for(size_t j = 0; j < h; j++)
T * data = new T[m_pitch * m_h];
m_coeffs = new T*[m_h];
for(size_t j = 0; j < m_h; j++)
{ {
m_coeffs[j] = data + m_pitch * j; p[j] = data + w * j;
} }
return p;
} }
template<typename T> template<typename T>
void wavelet_level<T>::destroy() void wavelet_level<T>::destroy(T ** p)
{ {
if(m_coeffs) if(p)
{ {
delete[] m_coeffs[0]; delete[] p[0];
delete[] m_coeffs; delete[] p;
} }
} }