diff --git a/colorchecker.h b/colorchecker.h
index c40e2de..8188cf6 100644
--- a/colorchecker.h
+++ b/colorchecker.h
@@ -112,7 +112,7 @@ std::unique_ptr<Image<X, Y, C>> HighlightClosest(const Image<X, Y, C>& image) {
   return out;
 }
 
-template <int32_t P, int32_t LUT_X, int32_t LUT_Y, int32_t LUT_Z, int32_t IMG_X, int32_t IMG_Y, int32_t C>
+template <int32_t LUT_X, int32_t LUT_Y, int32_t LUT_Z, int32_t IMG_X, int32_t IMG_Y, int32_t C>
 int32_t OptimizeLut(const Image<IMG_X, IMG_Y, C>& image, Lut3d<LUT_X, LUT_Y, LUT_Z>* lut) {
   static_assert(C == 3);
 
@@ -153,3 +153,37 @@ int32_t OptimizeLut(const Image<IMG_X, IMG_Y, C>& image, Lut3d<LUT_X, LUT_Y, LUT
 
   return diff;
 }
+
+template <int32_t LUT_X, int32_t IMG_X, int32_t IMG_Y, int32_t C>
+int32_t OptimizeLut(const Image<IMG_X, IMG_Y, C>& image, Lut1d<LUT_X>* lut) {
+  static_assert(C == 3);
+
+  auto snapshot = *lut;
+  int32_t diff = 0;
+
+  for (int32_t x = 0; x < LUT_X; ++x) {
+    auto& color = lut->at(x);
+
+    std::cout << Coord<1>{{{{x}}}} << std::endl;
+
+    for (int32_t c = 0; c < C; ++c) {
+      auto& channel = color.at(c);
+
+      auto min = FindPossibleMinimum<int32_t, int32_t, 8>(
+        -UINT16_MAX, UINT16_MAX * 2,
+        [&image, &snapshot, x, c](int32_t val) {
+          auto test_lut = snapshot;
+          test_lut.at(x).at(c) = val;
+          return ScoreLut(image, test_lut);
+        });
+      // Magic value of 8 is the number of points making up a square, so the number
+      // of points that control any given given LUT mapping.
+      auto new_value = Interpolate(channel, min, INT32_C(1), INT32_C(8));
+      std::cout << "\tC" << c << ": " << channel << " -> " << new_value << " (interpolated from " << min << ")" << std::endl;
+      diff += AbsDiff(channel, new_value);
+      channel = new_value;
+    }
+  }
+
+  return diff;
+}
diff --git a/image.h b/image.h
index 8614b4f..d084742 100644
--- a/image.h
+++ b/image.h
@@ -37,14 +37,14 @@ template <int32_t X, int32_t Y, int32_t C>
 void Image<X, Y, C>::DrawXLine(const Coord<2>& coord, const Color<C>& color, int32_t length) {
   auto& row = this->at(coord.at(1));
 
-  for (int32_t x = coord.at(0); x < std::min(X, coord.at(0) + length); ++x) {
+  for (int32_t x = coord.at(0); x < std::min(X - 1, coord.at(0) + length); ++x) {
     row.at(x) = color;
   }
 }
 
 template <int32_t X, int32_t Y, int32_t C>
 void Image<X, Y, C>::DrawYLine(const Coord<2>& coord, const Color<C>& color, int32_t length) {
-  for (int32_t y = coord.at(1); y <= std::min(Y, coord.at(1) + length); ++y) {
+  for (int32_t y = coord.at(1); y <= std::min(Y - 1, coord.at(1) + length); ++y) {
     SetPixel({{{{coord.at(0), y}}}}, color);
   }
 }
diff --git a/lut.h b/lut.h
index f8d12aa..7fb49b8 100644
--- a/lut.h
+++ b/lut.h
@@ -15,6 +15,10 @@ class LutBase {
 
   template <int32_t X, int32_t Y, int32_t C>
   std::unique_ptr<Image<X, Y, C>> MapImage(const Image<X, Y, C>& in) const;
+
+ protected:
+  static constexpr std::pair<int32_t, int32_t> FindChannelRoot(int32_t value, int32_t points);
+  static constexpr int32_t BlockSize(int32_t points);
 };
 
 template <int32_t X, int32_t Y, int32_t C>
@@ -31,6 +35,59 @@ std::unique_ptr<Image<X, Y, C>> LutBase::MapImage(const Image<X, Y, C>& in) cons
   return out;
 }
 
+constexpr int32_t LutBase::BlockSize(int32_t points) {
+  return (kMaxColor + 1) / (points - 1);
+}
+
+constexpr std::pair<int32_t, int32_t> LutBase::FindChannelRoot(int32_t value, int32_t points) {
+  // points - 1 is the last point index. Since we're going to find the region
+  // around this point by adding to the root, we need to be at least 1 less
+  // than that.
+  int32_t index = std::min(points - 2, value / BlockSize(points));
+  return std::make_pair(index, value - (index * BlockSize(points)));
+}
+
+
+template <int32_t X>
+class Lut1d : public Array<Color<3>, X>, public LutBase {
+ public:
+  static Lut1d<X> Identity();
+
+  Color<3> MapColor(const Color<3>& in) const override;
+};
+
+typedef Lut1d<2> MinimalLut1d;
+
+template <int32_t X>
+Lut1d<X> Lut1d<X>::Identity() {
+  Lut1d<X> ret;
+
+  Color<3> color;
+  for (int32_t x = 0; x < X; ++x) {
+    color.at(0) = color.at(1) = color.at(2) = std::min(kMaxColor, BlockSize(X) * x);
+    ret.at(x) = color;
+  }
+
+  return ret;
+}
+
+template <int32_t X>
+Color<3> Lut1d<X>::MapColor(const Color<3>& in) const {
+  Color<3> ret;
+
+  for (int32_t c = 0; c < 3; ++c) {
+    const auto root_rem = FindChannelRoot(in.at(c), X);
+    const auto& root = root_rem.first;
+    const auto& rem = root_rem.second;
+    ret.at(c) = Interpolate(
+      this->at(root + 0).at(c),
+      this->at(root + 1).at(c),
+      rem, BlockSize(X));
+  }
+
+  return ret;
+}
+
 
 template <int32_t X, int32_t Y, int32_t Z>
 class Lut3d : public Array<Array<Array<Color<3>, X>, Y>, Z>, public LutBase {
@@ -42,12 +99,8 @@ class Lut3d : public Array<Array<Array<Color<3>, X>, Y>, Z>, public LutBase {
  private:
   // Return value is (root_indices, remainders)
   constexpr static std::pair<Coord<3>, Coord<3>> FindRoot(const Color<3>& in);
-  constexpr static std::pair<int32_t, int32_t> FindChannelRoot(int32_t value, int32_t points);
-
-  constexpr static int32_t BlockSize(int32_t points);
 };
 
-// Minimum size LUT
 typedef Lut3d<2, 2, 2> MinimalLut3d;
 
 template <int32_t X, int32_t Y, int32_t Z>
@@ -116,17 +169,3 @@ constexpr std::pair<Coord<3>, Coord<3>> Lut3d<X, Y, Z>::FindRoot(const Color<3>&
     {{{{root_x.second, root_y.second, root_z.second}}}},
   };
 }
-
-template <int32_t X, int32_t Y, int32_t Z>
-constexpr std::pair<int32_t, int32_t> Lut3d<X, Y, Z>::FindChannelRoot(const int32_t value, const int32_t points) {
-  // points - 1 is the last point index. Since we're going to fidn the cube
-  // around this point by adding to the root, we need to be at least 1 less
-  // than that.
-  int32_t index = std::min(points - 2, value / BlockSize(points));
-  return std::make_pair(index, value - (index * BlockSize(points)));
-}
-
-template <int32_t X, int32_t Y, int32_t Z>
-constexpr int32_t Lut3d<X, Y, Z>::BlockSize(int32_t points) {
-  return (kMaxColor + 1) / (points - 1);
-}
diff --git a/piphoto.cc b/piphoto.cc
index c50fa03..1b559f4 100644
--- a/piphoto.cc
+++ b/piphoto.cc
@@ -9,12 +9,12 @@ int main() {
   auto image = PiRaw2::FromJpeg(ReadFile("test.jpg"));
   WriteFile("start.png", HighlightClosest(*image)->ToPng());
 
-  auto lut = MinimalLut3d::Identity();
+  auto lut = MinimalLut1d::Identity();
   std::cout << "Initial error: " << ScoreLut(*image, lut) << std::endl;
 
   int32_t diff = 1;
   while (diff) {
-    diff = OptimizeLut<4>(*image, &lut);
+    diff = OptimizeLut(*image, &lut);
     std::cout << "diff=" << diff << " error=" << ScoreLut(*image, lut) << std::endl;
     WriteFile("inter.png", HighlightClosest(*lut.MapImage(*image))->ToPng());
   }